Letztes Update:
Monday, 13.05.13, 18:09:00

Haftungssausschluss

Veröffentlichungen

Dies ist eine Liste mit Veröffentlichungen von Mitarbeitern unseres Lehrstuhls:

• Quadrat, A. and Robertz, D.
  Stafford's reduction of linear partial differential systems.
  In: Proceedings of the 5th Symposium on System Structure and Control, Grenoble, France, 2013, 309-314
• Lange-Hegermann, M. and Robertz, D.
  Thomas decompositions of parametric nonlinear control systems.
  In: Proceedings of the 5th Symposium on System Structure and Control, Grenoble, France, 2013, 291-296
• Faccin, P., de Graaf, W.A. and PLESKEN, W.
  Computing generators of the unit group of an integral abelian group ring
  J. Algebra 373 (2013), 441-452.
• Bächler, T., Gerdt, V. P., Lange-Hegermann, M. and Robertz, D.
  Algorithmic Thomas decomposition of algebraic and differential systems.
  Journal of Symbolic Computation 47:10 (2012), 1233-1266.
• PLESKEN, W. and Jambor, S.
  Normal forms for matrices over uniserial rings of length two.
  J. Algebra 358 (2012), 250-256.
• Jambor, S.
  Computing minimal associated primes in polynomial rings over the integers.
  Journal of Symbolic Computation 46:10 (2011), 1098-1104.
• Jongen, J.
  The Brauer-Clifford group and rational forms of finite groups.
  J. Algebra 335:1 (2011), 282-300.
• Barakat, M. and Lange-Hegermann, M.
  An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization.
  Journal of Algebra and Its Applications 10:2 (2011), 269-293.
• PLESKEN, W. and Robertz, D.
  Linear differential elimination for analytic functions.
  Mathematics in Computer Science 4:2--3 (2010), 231-242.
• Bächler, T., Gerdt, V. P., Lange-Hegermann, M. and Robertz, D.
  Thomas Decomposition of Algebraic and Differential Systems.
  In: Gerdt, V. P., Koepf, W., Mayr, E. W., Vorozhtsov, E. H. (eds.),
  Computer Algebra in Scientific Computing, 12th International Workshop, CASC 2010, Tsakhadzor, Armenia,
  Proceedings Series: Lecture Notes in Computer Science, Vol. 6244, Springer, 2010, 31-54.
• Gerdt, V. P. and Robertz, D.
  Consistency of Finite Difference Approximations for Linear PDE Systems and its Algorithmic Verification.
  In: Watt, S. M. (ed.),
  Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, TU München, Germany, 53-59.
• Quadrat, A. and Robertz, D.
  Controllability and differential flatness of linear analytic ordinary differential systems.
  In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, 2010.
• PLESKEN, W. and Robertz, D.
  The average number of cycles.
  Archiv der Mathematik 93:5 (2009), 445-449.
• Jambor, S.
  Generic extensions and generic polynomials for semidirect products.
  J. Algebra 322:11 (2009), 4040-4052.
• Robertz, D.
  Noether normalization guided by monomial cone decompositions.
  Journal of Symbolic Computation 44:10 (2009), 1359-1373.
• PLESKEN, W. and Fabianska, A.
  An L₂-quotient algorithm for finitely presented groups.
  J. Algebra 322:3 (2009), 914-935.
• Barakat, M. and Robertz, D.
  conley: Computing connection matrices in Maple.
  Journal of Symbolic Computation 44:5 (2009), 540-557.
• PLESKEN, W.
  Gauss-Bruhat decomposition as an example of Thomas decomposition.
  Archiv der Mathematik 92 (2009), 111-118.
• PLESKEN, W.
  Counting solutions of polynomial systems via iterated fibrations.
  Archiv der Mathematik 92 (2009), 44-56.
• PLESKEN, W. and Robertz, D.
  Elimination for Coefficients of Special Characteristic Polynomials.
  Experimental Mathematics 17:4 (2008), 499-510.
• Lorenz, A.
  On local integrability conditions of jet groupoids.
  Acta Appl. Math. 101:1-3 (2008), 205-213.
• Quadrat, A. and Robertz, D.
  Baer's extension problem for multidimensional linear systems.
  In: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2008), Virginia Tech, Blacksburg, Virginia (USA), 2008.
• Barakat, M. and Robertz, D.
  homalg: A meta-package for homological algebra.
  Journal of Algebra and Its Applications 7:3 (2008), 299-317.
• Fabianska, A. and Quadrat, A.
  Applications of the Quillen-Suslin theorem to multidimensional systems theory.
  In: Park, H. and Regensburger, G. (eds.), Gröbner Bases in Control Theory and Signal Processing, Radon Series on Computational and Applied Mathematics 3, de Gruyter, 2007, 23-106.
• Quadrat, A. and Robertz, D.
  Computation of bases of free modules over the Weyl algebras.
  Journal of Symbolic Computation 42:11-12 (2007), 1113-1141.
• Robertz, D.
  Janet Bases and Applications.
  In: Rosenkranz, M. and Wang, D. (eds.), Groebner Bases in Symbolic Analysis, Radon Series on Computational and Applied Mathematics 2, de Gruyter, 2007, 139-168.
• PLESKEN, W. and Robertz, D.
  Some elimination problems for matrices.
  In: Ganzha, V. G., Mayr, E. W., Vorozhtsov, E. V. (eds.),
  Computer Algebra in Scientific Computing, 10th International Workshop, CASC 2007, Bonn, Germany,
  Proceedings Series: Lecture Notes in Computer Science, Vol. 4770, Springer, 2007, 350-359.
• Chyzak, F., Quadrat, A. and Robertz, D.
  OreModules: A Symbolic Package for the Study of Multidimensional Linear Systems.
  In: Applications of Time-Delay Systems. Chiasson, J. and Loiseau, J.-J. (Eds.), LNCIS 352, Springer, 2007, 233-264.
• Barakat, M. and Robertz, D.
  homalg: First steps to an abstract package for homological algebra.
  In: Proceedings of the X meeting on computational algebra and its applications (EACA 2006), Sevilla (Spain), 2006, 29-32.
• Fabianska, A. and Quadrat, A.
  Flat Multidimensional Linear Systems with Constant Coefficients are Equivalent to Controllable 1-D Linear Systems.
  In: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), 2006, 560-582.
• Barakat, M. and Robertz, D.
  Computing Invariants of Multidimensional Linear Systems on an Abstract Homological Level.
  In: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), 2006, 542-559.
• Quadrat, A. and Robertz, D.
  Constructive Computation of Flat Outputs of a Class of Multidimensional Linear Systems with Variable Coefficients.
  In: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), 2006, 583-595.
• Quadrat, A. and Robertz, D.
  On the Monge Problem and Multidimensional Optimal Control.
  In: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan), 2006, 596-605.
• PLESKEN, W. and Robertz, D.
  Representations, commutative algebra, and Hurwitz groups.
  J. Algebra 300:1 (2006), 223-247.
• Corves, B., Abel, D., PLESKEN, W., Harmeling, F., Maschuw, J., and Robertz, D.
  Methoden und Werkzeuge zum Entwurf mechatronischer Bewegungssysteme mit ungleichmäßig übersetzenden Getrieben.
  In: VDI/VDE (eds.), Elektrischmechanische Antriebssysteme. Innovationen - Trends - Mechatronik, VDI-Berichte 1963, Düsseldorf, VDI-Verlag (2006), 557-573.
• Gerdt, V. P. and Robertz, D.
  A Maple package for computing Gröbner bases for linear recurrence relations.
  Nuclear Instruments and Methods in Physics Research Section A 559:1 (2006), 215-219.
  
• Chyzak, F., Quadrat, A. and Robertz, D.
  Effective algorithms for parametrizing linear control systems over Ore algebras.
  Applicable Algebra in Engineering, Communications and Computing, 16:5 (2005), 319-376.
• Quadrat, A. and Robertz, D.
  On the blowing-up of stably free behaviours.
  In: Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville (Spain), 2005, 1541-1546 (pdf)
• PLESKEN, W. and Robertz, D.
  Constructing Invariants for Finite Groups.
  Experimental Mathematics 14:2 (2005), 175-188.
• Quadrat, A. and Robertz, D.
  Parametrizing all solutions of uncontrollable multidimensional linear systems.
  In: Proceedings of the 16th IFAC World Congress, Prague (Czech Republic), 2005 (pdf)
• Hartjen, G. and PLESKEN, W.
  Constructing matrices with given generalized characteristic polynomial.
  In: Proceedings of the Fourth International Workshop on Multidimensional Systems (NDS 2005), University of Wuppertal (Germany), 2005 (pdf)
• PLESKEN, W. and Robertz, D.
  Janet's approach to presentations and resolutions for polynomials and linear pdes.
  Archiv der Mathematik 84 (2005), no. 1, 22-37.
• Barakat, M.
  The existence of Cartan connections and geometrizable principal bundles.
  Archiv der Mathematik 83 (2004), no. 2, 159-163.
• Chyzak, F., Quadrat, A. and Robertz, D.
  OreModules: A symbolic package for the study of multidimensional linear systems.
  In: Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), Katholieke Universiteit Leuven (Belgium), 2004 (pdf)
• Blinkov, Y. A., Cid, C. F., Gerdt, V. P., PLESKEN, W. and Robertz, D.
  The MAPLE Package "Janet": I. Polynomial Systems. II. Linear Partial Differential Equations.
  In: Proc. 6th Int. Workshop on Computer Algebra in Scientific Computing, Passau (Germany), 2003. Siehe auch http://wwwb.math.rwth-aachen.de/Janet.
• Chyzak, F., Quadrat, A. and Robertz, D.
  Linear control systems over Ore algebras. Effective algorithms for the computation of parametrizations.
  In: Proceedings of the IFAC Workshop on Time-Delay Systems (TDS03), INRIA Rocquencourt (France), 2003 (pdf)
• Heidbüchel, O. and PLESKEN, W.
  The graph of a geometric class of space groups.
  In: Proceedings of the Steklov Institute of Mathematics, Vol. 239 (2002), 268-272.
• PLESKEN, W.
  Janet's algorithm.
  In: Proceedings of the International Conference on Symmetry and Perturbation Theory 2002 (SPT 2002), 171-180
  Abenda, S., Gaeta, G., and Walcher, S.
  World Scientific, 2002
• Barakat, M.
  Jets. A MAPLE-Package for Formal Differential Geometry.
  In: Computer Algebra in Scientific Computing - CASC 2001,
  Ganzha, V. G., Mayr, E. W., and Vorozhtsov, E. V. (eds.),
  Springer-Verlag, 2001, 1-12.
• Cid, C. F. and PLESKEN, W.
  Invariants of finite groups and involutive division.
  In: Computer Algebra in Scientific Computing - CASC 2001, 123-135
  Ganzha, V. G., Mayr, E. W., and Vorozhtsov, E. V. (eds.),
  Springer-Verlag, 2001
• Cid, C. F. and Schulz, T.
  Computation of Five and Six Dimensional Bieberbach Groups.
  Experimental Mathematics 10:1 (2001), 109-115 (ps, pdf)
• Molnár, E., Schulz, T. and Szirmai, J.
  Periodic and Aperiodic Figures on the Plane by Higher Dimensions.
  Journal for Geometry and Graphics 5 (2001), no. 2, 133-144
• Opgenorth, J.
  Dual cones and the Voronoi algorithm.
  Experimental Mathematics 10:4 (2001), 599-608
• PLESKEN, W.
  Lattices of covariant quadratic forms.
  L'Enseignement Mathématique 47 (2001), 21-56
• PLESKEN, W.
  Symmetrie - ein fachübergreifendes Konzept.
  In: RWTH Themen 2 (2001), 42-47
• PLESKEN, W.
  Computeralgebra.
  In: RWTH-Themen 2 (2001), 82-83
• PLESKEN, W. and SCHULZ, T.
  Counting crystallographic groups in low dimensions.
  Experimental Mathematics 9:3 (2000), 407-411 (ps, pdf)
• Cid, C. F.
  Bieberbach groups with finite commutator quotient and point-group C_pⁿ x C_p^m.
  Journal of Group Theory 3, Issue 2 (2000), 113-125 (ps, pdf)
• PLESKEN, W.
  Presentations and representations of groups.
  In: Algorithmic Algebra and Number Theory, 423-434
  Greuel, G., Hiss, G. and Matzat, B.
  Springer-Verlag 1999
• Cohen, A., Nebe, G. and PLESKEN, W.
  Maximal integral forms of the algebraic group G₂ defined by finite subgroups.
  Journal of Number Theory 72 (1998), 282-308
• PLESKEN, W.
  Finite rational matrix groups: a survey.
  In: The atlas of finite groups: ten years on.
  Cambridge University Press 1998
  London Mathematical Society, Lecture Note Series 249, 229-248
• Opgenorth, J., PLESKEN, W. and SCHULZ, T.
  Cristallographic algorithms and tables
  Acta Cryst. A54 (1998), 517-531
• PLESKEN, W. and Souvignier, B.
  Constructing representations of finite groups and applications to finitely presented groups
  Journal of Algebra 202 (1998), 609-703
• Klaas, G., Leedham-Green, C. and PLESKEN, W.
  Linear Pro-p groups of finite width
  Springer Lecture Notes 1674 (1997), 1-114
• Holt, D., PLESKEN, W. and Souvignier, B.
  Constructing a representation of the group (2,3,7;11)
  Journal of Symbolic Computation 24 (1997), 489-492
• PLESKEN, W. and Souvignier, B.
  Analyzing finitely presented groups by constructing representations
  Journal of Symbolic Computation 24 (1997), 335-349
• PLESKEN, W. and Souvignier, B.
  Computing isometries of lattices
  Journal of Symbolic Computation 24 (1997), 327-334
• Cohen, A., Nebe, G. and PLESKEN, W.
  Cayley Orders
  Composito Mathematica 103 (1996), 63-74
• PLESKEN, W. and Souvignier, B.
  Constructing rational representations of finite groups
  Experimental Mathematics, Vol. 5, No. 1 (1996), 39-48
• PLESKEN, W.
  Kristallographische Gruppen
  75-96 in Group Theory, Algebra, Number Theory
  Ed. Zimmer, Walter de Gruyter 1996
• PLESKEN, W.
  Solving X*X^tr = A over the integers
  Linear Algebra and its Applications, vols. 226-228 (1995), 331-344
• Nebe, G. and PLESKEN, W.
  Finite rational matrix groups.
  1. Teil: Finite rational matrix groups, S. 1-71,
  2. Teil: Finite rational matrix groups of degree 16, S. 72-144.
  AMS-Memoirs, vol. 116, No. 116 (1995)
• PLESKEN, W.
  Additively indecomposable positive integral quadratic forms.
  Journal of Number Theory 47, No. 3 (1994), 273-283.
• PLESKEN, W. and Rosenberger, G.
  Simultaneous conjugation in quaternion algebras.
  Results in Mathematics 25 (1994), 120-124
• PLESKEN, W.
  Hans Zassenhaus 1912-1991.
  Jb. d. Dt. Math.-Verein. 96 (1994), 1-20.
• Holt, D. and PLESKEN, W.
  The p-coclass of a group.
  Journal of Algebra 162, No. 2 (1993), 335-342.
• PLESKEN, W. and Pohst, M.
  Constructing integral lattices with prescribed minimum II.
  Math. Comp., 60, no. 202 (1993), 817-825.
• PLESKEN, W.
  Some arithmetic-geometric problems related to Specht-lattices.
  Bayreuther Mathematische Schriften 43 (1993), 97-108.
• Holt, D. and PLESKEN, W.
  A cohomological criterion for a finitely presented group to be infinite.
  J. London Math. Soc. (2) 45 (1992), 469-480.
• PLESKEN, W.
  Some applications of representation theory.
  477-496 in Progress in Mathematics, Vol. 95
  Representation Theory of Finite Groups and Finite-Dimensional Algebras
  edited by G.O.Michler a. C.M.Ringel, Birkhäuser 1991.
• PLESKEN, W.
  Minimal dimensions for flat manifolds with prescribed holonomy.
  Math. Ann., 284 (1989), 477-486.
• Holt, D. and PLESKEN, W.
  Perfect Groups
  Oxford University Press, 1989
• Cliff, G., PLESKEN, W. and Weiss, A.
  Order-Theoretic Properties of the Centre of a Block.
  Proceedings of Symposia in Pure Mathematics, AMS, 47 (1987), 413-420.
• PLESKEN, W.
  Towards a soluble quotient algorithm.
  Journal of Symb. Comp. 4, no. 1 (1987), 111-122.
• Pahlings, H. and PLESKEN, W.
  Actions of finite groups on Cartesian powers with applications to representation theory.
  J. reine angew. Math. 380 (1987), 178-195.
• Leedham-Green, C., McKay, S. and PLESKEN, W.
  Space groups and groups of prime power order. VI. A bound to the dimension of a 2-adic space group with fixed coclass.
  J. Lon. Math. Soc. (2) 34 (1986), 417-425.
• Holt, D. and PLESKEN, W.
  A₅-invariant 2-groups with no trivial sections.
  Quarterly J. of Math. (2) 37 (1986), 39-47.
• Leedham-Green, C. and PLESKEN, W.
  Some remarks on Sylow subgroups of general linear groups.
  Math. Zeitschr. 191 (1986), 529-535.
• Leedham-Green, C., McKay, S. and PLESKEN, W.
  Space groups and groups of prime power order. V. A bound to the dimension of a space group with fixed coclass.
  Proc. of the London Math. Soc. 52 (1986), 73-94.
• PLESKEN, W.
  Finite Unimodular Groups of Prime Degree and Circulants.
  Journal of Algebra 97, no. 1 (1985), 286-312.
• Hanrath, W. and PLESKEN, W.
  Group rings and irreducible representations of space groups.
  J. reine angew. Math. 362 (1985), 130-140.
• PLESKEN, W. and Pohst, M.
  Constructing Integral Lattices With Prescribed Minimum. I.
  Math. of Comput. 45, no. 171 (1985), 209-221 with supplement.
• Hanrath, W. and PLESKEN, W.
  The Lattices of Six-Dimensional Euclidean Space.
  Math. of Comput. 43, no. 168 (1984), 573-587.
• Neubüser, J., Pahlings, H. and PLESKEN, W.
  CAS - Design and use of a system for the handling of characters of finite groups
  in Proceedings Symposium on Computational Group Theory Durham 1982, 196-247.
• PLESKEN, W.
  Group rings of finite groups over p-adic integers.
  Springer Lecture Notes in Mathematics, vol. 1026, 1983.
• PLESKEN, W.
  Permutation groups with uniserial modules.
  Bulletin of the London Math. Soc., 15 (1983), 51-55.
• PLESKEN, W.
  Counting with groups and rings.
  J. reine angew. Math. 334 (1982), 40-68.
• PLESKEN, W.
  Vertices of irreducible lattices over p-groups.
  Communications in Algebra, 10 (3), 1982, 227-236.
• Aasman, M., Janissen, W., Lammers, H., Neubüser, J., Pahlings, H. and PLESKEN, W.
  The CAS System - User Manual
  vervielfältigt am Lehrstuhl D für Mathematik, RWTH Aachen, September 1981
• Aasman, M., Janissen, W., Lammers, H., Neubüser, J., Pahlings, H. and PLESKEN, W.
  The CAS System - Handbuch
  vervielfältigt am Lehrstuhl D für Mathematik, RWTH Aachen, March 1981
• PLESKEN, W.
  Applications of the theory of orders to crystallographic groups.
  In: Integral Representations and Applications. Proceedings, Oberwolfach, Germany, 1980; edited by K.W. Roggenkamp.
  Springer Lecture Notes 882, 37-92.
• PLESKEN, W.
  Projective Lattices over Group Orders as Amalgamation of Irreducible Lattices.
  In: Representation Theory II, Proceedings, Ottawa, Carleton University, 1979; edited by V. Dlab and P. Gabriel.
  Springer Lecture Notes 832, 1980, 438-448.
• Felsch, W., Neubüser, J. and PLESKEN, W.
  Space groups and groups of prime power order IV - Counterexamples to the class-breadth conjecture.
  Journ. London Math. Society (2), 24 (1981), 113-122.
• PLESKEN, W.
  Bravais Groups in Low Dimensions.
  Proceedings of a Conference on Crystallographic Groups,Bielefeld 1979
  match 10 (1981), 97-119.
• Neubüser, J., PLESKEN, W. and Wondratschek, H.
  An emendatory discursion on defining crystal systems.
  Proceedings of a Conference on Crystallographic Groups,Bielefeld 1979
  match 10 (1981), 77-96.
• Finken, H., Neubüser, J. and PLESKEN, W.
  Classification of space groups by finite factor groups.
  Archiv der Mathematik, 35 1980, 203-209.
• Pohst, M. and PLESKEN, W.
  On Maximal Finite Irreducible Subgroups of GL(n,Z). V. The Eight Dimensional Case and a Complete Description of Dimensions Less Than Ten.
  Math. of Computation, vol. 34, No. 149, 1980, 277-301.
• Pohst, M. and PLESKEN, W.
  On Maximal Finite Irreducible Subgroups of GL(n,Z). IV. Remarks on Even Dimensions with Applications to n=8.
  Math. of Computation, vol. 34, No. 149, 1980, 259-276.
• Pohst, M. and PLESKEN, W.
  On Maximal Finite Irreducible Subgroups of GL(n,Z). III. The Nine Dimensional Case.
  Math. of Computation, vol. 34, No. 149, 1980, 245-258.
• PLESKEN, W.
  On Reducible and Decomposable Representations of Orders.
  J. reine angew. Math. 297 (1978), 188-210.
• Abold, H. and PLESKEN, W.
  Ein Sylowsatz für endliche p-Untergruppen von GL(n,Z).
  Math. Ann., 232 (1978), 183-186.
• PLESKEN, W.
  On absolutely Irreducible Representations of Orders.
  In: H. Zassenhaus: Number Theory and Algebras: Collected Papers.
  Dedicated to Henry B. Mann, Arnold E. Ross, and Olga Taussky-Todd.
  Academic Press 1977, New York, San Francisco, London, 241-262.
• PLESKEN, W.
  The Bravais Group and the Normalizer of a Reducible Finite Subgroup of GL(n,Z).
  Communications in Algebra, 5 (4), 1977, 375-396.
• Pohst, M. and PLESKEN, W.
  On Maximal Finite Irreducible Subgroups of GL(n,Z). II. The Six Dimensional Case.
  Math. of Computation, vol. 31, No. 138, 1977, 552-573.
• Pohst, M. and PLESKEN, W.
  On Maximal Finite Irreducible Subgroups of GL(n,Z). I. The Five and Seven Dimensional Cases.
  Math. of Computation, vol. 31, No. 138, 1977, 536-551.
• PLESKEN, W. and Zassenhaus, H.
  On Space-Time Groups.
  In: Lecture Notes in Physics 50, Group Theoretical Methods in Physics.
  Edited by A. Janner, and M. Boon,
  Springer Verlag Berlin, Heidelberg, New York 1976, 404-419.
• Pohst, M. and PLESKEN, W.
  On Maximal Finite Irreducible Subgroups of GL(n,Z). I. The Five and Seven Dimensional Cases II. The Six Dimensional Case.
  AMS Bulletin, vol. 82, No. 5, 1976, 757-758
• PLESKEN, W.
  Automorphs of Ternary Quadratic Forms.
  In: Selected Topics on Ternary Forms and Norms, Seminar in Number Theory 1974/75
  Olga Taussky-Todd, California Institute of Technology, 1976, 5.2-5.34